9 papers
Multisymmetric polynomials on set-theoretic quiver representations
Radford Green, Cornell Holmes, Mee Seong Im
Eventually constant set-valued representations of a quiver are set-theoretic analogues of nilpotent representations. In recent work by Green-Holmes-Im, the authors enumerated event…
Multisymmetric functions on eventually constant cyclic graphs
Radford Green, Cornell Holmes, Mee Seong Im
The study of spanning trees and related structures is central in graph theory, closely connected to understanding functions between finite sets. This paper generalizes the establis…
Eventually constant maps for two sets and nilpotent pairs
Weixi Chen, Mee Seong Im, Catherine Lillja +1
We give a bijective correspondence between the number of nilpotent matrices over a Boolean semiring and the number of directed acyclic graphs on ordered vertices. We then enumerate…
Pairs of eventually constant maps and nilpotent pairs
Weixi Chen, Mee Seong Im, Mikhail Khovanov +2
Tom Leinster gave a bijective correspondence between the set of operators on a finite-dimensional vector space and the set of pairs consisting of a nilpotent operator and a vec…
Foams, iterated wreath products, field extensions and Sylvester sums
Mee Seong Im, Mikhail Khovanov
Certain foams and relations on them are introduced to interpret functors and natural transformations in categories of representations of iterated wreath products of cyclic groups o…
Two-dimensional topological quantum field theories of rank two over Dedekind domains
Fabian Espinoza, Mee Seong Im, Mikhail Khovanov
We give examples of Frobenius algebras of rank two over ground Dedekind rings which are projective but not free and discuss possible applications of these algebras to link homology…